Abstract
A new heuristic solution to self-potential anomalies due to 2D inclined sheets of infinite horizontal extent is presented. This technique is based on using whale optimization algorithm (WOA) in order to infer the optimum solution of the problem. The inverted parameters are polarization amplitude (k), the half-width (a), the inclination angle (α) and the depth (h). The WOA has been tested on a synthetic example, the effect of random noise is analyzed as well and the method depicted good results using MATLAB code. The method has also been applied on two real examples from India. The inversion parameters illustrate that WOA accurately detects model parameters, and show good validation when compared with other inversion methods in the published literature.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Murty, B.V.S., Haricharan, P.: Nomogram for the spontaneous potential profile over sheet-like and cylindrical two-dimensional sources. Geophysics 50, 1127–1135 (1985)
El-Kaliouby, H.M., Al-Garni, M.A.: Inversion of self-potential anomalies caused by 2D inclined sheets using neural networks. J. Geophys. Eng. 6, 29–34 (2009). https://doi.org/10.1088/1742-2132/6/1/003
Mirjalili, S., Lewis, A.: The whale optimization algorithm. In: Advances in Engineering Software (in press). J.advengsoft.2016.01.008
Biswas, A., Sharma, S.P.: Optimization of self-potential interpretation of 2-D inclined sheet-type structures based on very fast simulated annealing and analysis of ambiguity. J. Appl. Geophys. 105(2014), 235–247 (2014)
Monteiro Santos, F.A.: Inversion of self-potential of idealized bodies’ anomalies using particle swarm optimization. Comput. Geosci. 36, 1185–1190 (2010)
Rao, R.M., Babu, H., Sivakumar Sinha, G.: A Fourier transform for the interpretation of self-potential anomalies due to two-dimensional inclined sheet of finite depth. Pure Appl. Geophys. 120, 365–374 (1982)
Di Maio, R., Rani, P., Piegari, E., Milano, L.: Self-potential data inversion through a Genetic-Price algorithm. Comput. Geosci. 94, 86–95 (2016)
Jagannadha Rao, S., Rama Rao, P., Radhakrishna Murthy., I.V.: Automatic inversion of self-potential anomalies of sheet-like bodies. Comput. Geosci. 19(1), 61–73 (1993)
Biswas, A., Sharma, S.P.: Interpretation of self-potential anomaly over idealized body and analysis of ambiguity using very fast simulated annealing global optimization. Near Surf. Geophys. 13(2), 179–195 (2015)
Murthy, I.V.R., Sudhakar, K.S., Rao, P.R.: A new method of interpreting self potential anomalies of two-dimensional inclined sheets. Comput. Geosci. 31, 661–665 (2005)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Gobashy, M., Abdelazeem, M., Abdrabou, M. (2019). A Complete Solution to Self-potential Anomalies Due to 2D Inclined Sheets Using Whale Optimization. In: Sundararajan, N., Eshagh, M., Saibi, H., Meghraoui, M., Al-Garni, M., Giroux, B. (eds) On Significant Applications of Geophysical Methods. CAJG 2018. Advances in Science, Technology & Innovation. Springer, Cham. https://doi.org/10.1007/978-3-030-01656-2_10
Download citation
DOI: https://doi.org/10.1007/978-3-030-01656-2_10
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-01655-5
Online ISBN: 978-3-030-01656-2
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)